4964925326400 has 1680 divisors, whose sum is σ = 20459210735040. Its totient is φ = 1172595916800.

The previous prime is 4964925326359. The next prime is 4964925326423. The reversal of 4964925326400 is 46235294694.

4964925326400 is a `hidden beast` number, since 4 + 9 + 6 + 49 + 2 + 532 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14999774235 + ... + 14999774565.

It is an arithmetic number, because the mean of its divisors is an integer number (12178101628).

Almost surely, 2^{4964925326400} is an apocalyptic number.

4964925326400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4964925326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229605367520).

4964925326400 is an abundant number, since it is smaller than the sum of its proper divisors (15494285408640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4964925326400 is a wasteful number, since it uses less digits than its factorization.

4964925326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 4964925326400 in words is "four trillion, nine hundred sixty-four billion, nine hundred twenty-five million, three hundred twenty-six thousand, four hundred".